35 citations · 84 across the 12 of their papers we have counts for
14 papers
Diagrammatic bases from stratified normalization
Stéphane Gaussent, Zuan Liu, Philippe Malbos
In this article, we introduce a new rewriting method for computing hom-bases of diagrammatic categories. Our approach is based on stratified presentations, obtained by partitioning…
MV Polytopes and Masures
Tristan Bozec, Stéphane Gaussent
We realize affine Mirkovi{ć}-Vilonen polytopes using Littelmann's path model in the framework of masures. We are also able to read the decorations on the paths in the case of sl2.
Bases of tensor products and geometric Satake correspondence
Pierre Baumann, Stéphane Gaussent, Peter Littelmann
The geometric Satake correspondence can be regarded as a geometric construction of the rational representations of a complex connected reductive group G. In their study of this cor…
Macdonald's formula for Kac-Moody groups over local fields
Nicole Bardy-Panse, Stéphane Gaussent, Guy Rousseau
For an almost split Kac-Moody group G over a local non-archimedean field, the last two authors constructed a spherical Hecke algebra H (over the complex numbers C, say) and its Sat…
Iwahori-Hecke algebras for Kac-Moody groups over local fields
Nicole Bardy-Panse, Stéphane Gaussent, Guy Rousseau
We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of…
Knuth relations, tableaux and MV-cycles
Stéphane Gaussent, Peter Littelmann, An Hoa Nguyen
We give a geometric interpretation of the Knuth equivalence relations in terms of the affine Graß mann variety. The Young tableaux are seen as sequences of coweights, called galler…